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444981103 = 73172672
BaseRepresentation
bin11010100001011…
…101111101101111
31011000022101022121
4122201131331233
51402403343403
6112053253411
714012164000
oct3241357557
91130271277
10444981103
112091a8986
12105034267
1371260438
14431531a7
15290eb3bd
hex1a85df6f

444981103 has 36 divisors (see below), whose sum is σ = 559599600. Its totient is φ = 353618496.

The previous prime is 444981091. The next prime is 444981107. The reversal of 444981103 is 301189444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 444981103 - 213 = 444972911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444981107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6641476 + ... + 6641542.

Almost surely, 2444981103 is an apocalyptic number.

444981103 is a deficient number, since it is larger than the sum of its proper divisors (114618497).

444981103 is an frugal number, since it uses more digits than its factorization.

444981103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 444981103 is about 21094.5752031180. The cubic root of 444981103 is about 763.4498651676.

The spelling of 444981103 in words is "four hundred forty-four million, nine hundred eighty-one thousand, one hundred three".

Divisors: 1 7 17 49 67 119 289 343 469 833 1139 2023 3283 4489 5831 7973 14161 19363 22981 31423 55811 76313 99127 135541 219961 390677 534191 948787 1297321 1539727 3739337 6641509 9081247 26175359 63568729 444981103